Calculus for a New Century

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Author :
Publisher : MAA Press
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Calculus for a New Century by : Lynn Arthur Steen

Download or read book Calculus for a New Century written by Lynn Arthur Steen and published by MAA Press. This book was released on 1988 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document, intended as a resource for calculus reform, contains 75 separate contributions, comprising a very diverse set of opinions about the shape of calculus for a new century. The authors agree on the forces that are reshaping calculus, but disagree on how to respond to these forces. They agree that the current course is not satisfactory, yet disagree about new content emphases. They agree that the neglect of teaching must be repaired, but do not agree on the most promising avenues for improvement. The document contains: (1) a record of presentations prepared for a colloquium; (2) a collage of reactions to the colloquium by a variety of individuals representing diverse calculus constituencies; (3) summaries of 16 discussion groups that elaborate on particular themes of importance to reform efforts; (4) a series of background papers providing context for the calculus colloquium; (5) a selection of final examinations from Calculus I, II, and III from universities, colleges, and two-year colleges around the country; (6) a collection of reprints of documents related to calculus; and (7) a list of colloquium participants. (PK)

A History of the Calculus of Variations from the 17th through the 19th Century

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461381061
Total Pages : 427 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis A History of the Calculus of Variations from the 17th through the 19th Century by : H. H. Goldstine

Download or read book A History of the Calculus of Variations from the 17th through the 19th Century written by H. H. Goldstine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name calculus of variations but this is, of course, not the true moment of inception of the subject. It would not have been unreasonable if I had gone back to the set of isoperimetric problems considered by Greek mathemati cians such as Zenodorus (c. 200 B. C. ) and preserved by Pappus (c. 300 A. D. ). I have not done this since these problems were solved by geometric means. Instead I have arbitrarily chosen to begin with Fermat's elegant principle of least time. He used this principle in 1662 to show how a light ray was refracted at the interface between two optical media of different densities. This analysis of Fermat seems to me especially appropriate as a starting point: He used the methods of the calculus to minimize the time of passage cif a light ray through the two media, and his method was adapted by John Bernoulli to solve the brachystochrone problem. There have been several other histories of the subject, but they are now hopelessly archaic. One by Robert Woodhouse appeared in 1810 and another by Isaac Todhunter in 1861.

Calculus Problems for a New Century

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Publisher :
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4.:/5 (243 download)

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Book Synopsis Calculus Problems for a New Century by : Robert Fraga

Download or read book Calculus Problems for a New Century written by Robert Fraga and published by . This book was released on 199? with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Development of Newtonian Calculus in Britain, 1700-1800

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Publisher : Cambridge University Press
ISBN 13 : 9780521524841
Total Pages : 246 pages
Book Rating : 4.5/5 (248 download)

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Book Synopsis The Development of Newtonian Calculus in Britain, 1700-1800 by : Niccol- Guicciardini

Download or read book The Development of Newtonian Calculus in Britain, 1700-1800 written by Niccol- Guicciardini and published by Cambridge University Press. This book was released on 2003-11-13 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines how calculus developed in Britain during the century following Newton.

The Mathematical Century

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Publisher : Princeton University Press
ISBN 13 : 0691128057
Total Pages : 224 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Mathematical Century by : Piergiorgio Odifreddi

Download or read book The Mathematical Century written by Piergiorgio Odifreddi and published by Princeton University Press. This book was released on 2006-10-22 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview of the subject. He concentrates on thirty highlights of pure and applied mathematics. Each tells the story of an exciting problem, from its historical origins to its modern solution, in lively prose free of technical details. Odifreddi opens by discussing the four main philosophical foundations of mathematics of the nineteenth century and ends by describing the four most important open mathematical problems of the twenty-first century. In presenting the thirty problems at the heart of the book he devotes equal attention to pure and applied mathematics, with applications ranging from physics and computer science to biology and economics. Special attention is dedicated to the famous "23 problems" outlined by David Hilbert in his address to the International Congress of Mathematicians in 1900 as a research program for the new century, and to the work of the winners of the Fields Medal, the equivalent of a Nobel prize in mathematics. This eminently readable book will be treasured not only by students and their teachers but also by all those who seek to make sense of the elusive macrocosm of twentieth-century mathematics.

The New Era in American Mathematics, 1920–1950

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Publisher : Princeton University Press
ISBN 13 : 0691235244
Total Pages : 640 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis The New Era in American Mathematics, 1920–1950 by : Karen Hunger Parshall

Download or read book The New Era in American Mathematics, 1920–1950 written by Karen Hunger Parshall and published by Princeton University Press. This book was released on 2022-02-22 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The 1920s witnessed the birth of a serious mathematical research community in America. Prior to this, mathematical research was dominated by scholars based in Europe-but World War I had made the importance of scientific and technological development clear to the American research community, resulting in the establishment of new scientific initiatives and infrastructure. Physics and chemistry were the beneficiaries of this renewed scientific focus, but the mathematical community also benefitted, and over time, began to flourish. Over the course of the next two decades, despite significant obstacles, this constellation of mathematical researchers, programs, and government infrastructure would become one of the strongest in the world. In this meticulously-researched book, Karen Parshall documents the uncertain, but ultimately successful, rise of American mathematics during this time. Drawing on research carried out in archives around the country and around the world, as well as on the secondary literature, she reveals how geopolitical circumstances shifted the course of international mathematics. She provides surveys of the mathematical research landscape in the 1920s, 30s, and 40s, introduces the key players and institutions in mathematics at that time, and documents the effect of the Great Depression and the second world war on the international mathematical community. The result is a comprehensive account of the shift of mathematics' "center of gravity" to the American stage"--

Calculus Problems for a New Century

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Author :
Publisher : Mathematical Association of America (MAA)
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Calculus Problems for a New Century by : Robert Fraga

Download or read book Calculus Problems for a New Century written by Robert Fraga and published by Mathematical Association of America (MAA). This book was released on 1993 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Project of the Associated Colleges of the Midwest and the Great Lakes Colleges Association.

Lacroix and the Calculus

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Publisher : Springer Science & Business Media
ISBN 13 : 376438638X
Total Pages : 475 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Lacroix and the Calculus by : João Caramalho Domingues

Download or read book Lacroix and the Calculus written by João Caramalho Domingues and published by Springer Science & Business Media. This book was released on 2008-06-17 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Silvestre François Lacroix was not a prominent mathematical researcher, but he was certainly a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral, which is an encyclopedic appraisal of 18th-century calculus that remained the standard reference on the subject through much of the 19th century. This book provides the first global and detailed study of Lacroix's Traité Traité du calcul.

Calculus Problems for a New Century

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Publisher :
ISBN 13 : 9780883850879
Total Pages : 0 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis Calculus Problems for a New Century by :

Download or read book Calculus Problems for a New Century written by and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus Problems for a New Century

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Author :
Publisher :
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4.:/5 (243 download)

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Book Synopsis Calculus Problems for a New Century by : Robert Fraga

Download or read book Calculus Problems for a New Century written by Robert Fraga and published by . This book was released on 199? with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Study and Difficulties of Mathematics

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Publisher : Courier Corporation
ISBN 13 : 0486155153
Total Pages : 308 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis On the Study and Difficulties of Mathematics by : Augustus De Morgan

Download or read book On the Study and Difficulties of Mathematics written by Augustus De Morgan and published by Courier Corporation. This book was released on 2014-03-05 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a refreshing contrast to the mechanical character of common textbooks. Presuming only a knowledge of the rules of algebra and Euclidean theorems, De Morgan begins with some introductory remarks on the nature and objects of mathematics. He discusses the concept of arithmetical notion and its elementary rules, including arithmetical reactions and decimal fractions. Moving on to algebra, he reviews the elementary principles, examines equations of the first and second degree, and surveys roots and logarithms. De Morgan's book concludes with an exploration of geometrical reasoning that encompasses the formulation and use of axioms, the role of proportion, and the application of algebra to the measurement of lines, angles, the proportion of figures, and surfaces.

Infinite Powers

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Publisher : Eamon Dolan Books
ISBN 13 : 1328879984
Total Pages : 389 pages
Book Rating : 4.3/5 (288 download)

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Book Synopsis Infinite Powers by : Steven Strogatz

Download or read book Infinite Powers written by Steven Strogatz and published by Eamon Dolan Books. This book was released on 2019 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

Calculus Gems

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Publisher : MAA
ISBN 13 : 9780883855614
Total Pages : 386 pages
Book Rating : 4.8/5 (556 download)

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Book Synopsis Calculus Gems by : George F. Simmons

Download or read book Calculus Gems written by George F. Simmons and published by MAA. This book was released on 2007-08-02 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates the profound connections that join mathematics to the history of philosophy.

Elementary Calculus

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Publisher :
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elementary Calculus by : Frederick Shenstone Woods

Download or read book Elementary Calculus written by Frederick Shenstone Woods and published by . This book was released on 1928 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perfect Rigour

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Publisher : Icon Books Ltd
ISBN 13 : 1848313098
Total Pages : 119 pages
Book Rating : 4.8/5 (483 download)

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Book Synopsis Perfect Rigour by : Masha Gessen

Download or read book Perfect Rigour written by Masha Gessen and published by Icon Books Ltd. This book was released on 2011-03-03 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2006, an eccentric Russian mathematician named Grigori Perelman solved one of the world's greatest intellectual puzzles. The Poincare conjecture is an extremely complex topological problem that had eluded the best minds for over a century. In 2000, the Clay Institute in Boston named it one of seven great unsolved mathematical problems, and promised a million dollars to anyone who could find a solution. Perelman was awarded the prize this year - and declined the money. Journalist Masha Gessen was determined to find out why. Drawing on interviews with Perelman's teachers, classmates, coaches, teammates, and colleagues in Russia and the US - and informed by her own background as a math whiz raised in Russia - she set out to uncover the nature of Perelman's astonishing abilities. In telling his story, Masha Gessen has constructed a gripping and tragic tale that sheds rare light on the unique burden of genius.

Calculus

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Publisher : Macmillan
ISBN 13 : 1429229993
Total Pages : 1180 pages
Book Rating : 4.4/5 (292 download)

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Book Synopsis Calculus by : Jon Rogawski

Download or read book Calculus written by Jon Rogawski and published by Macmillan. This book was released on 2008-06-23 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal it has the perfect balance for instructors and their students.

Advanced Calculus (Revised Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.